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# 0^n

(Redirected from Characteristic function of 0)

${\displaystyle 0^{n}={\begin{cases}\infty &{\text{if }}n<0,\\1&{\text{if }}n=0,\\0&{\text{if }}n>0.\end{cases}}}$
A000007 The characteristic function of 0: ${\displaystyle \scriptstyle a(n)\,=\,0^{n},\,n\,\geq \,0}$.